Crystalline Kitaev spin liquids

Abstract

Frustrated magnetic systems exhibit many fascinating phases. Prime among them are quantum spin liquids, where the magnetic moments do not order even at zero temperature. A subclass of quantum spin liquids called Kitaev spin liquids are particularly interesting, because they are exactly solvable, can be realized in certain materials, and show a large variety of gapless and gapped phases. Here, we show that non-symmorphic symmetries can enrich spin liquid phases, such that the low-energy spinon degrees of freedom form three-dimensional Dirac cones or nodal chains. In addition, we suggest how such Kitaev spin liquids may be realized in metal-organic-frameworks.

arXiv comment17 pages, 11 figures

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Cited by in corpus (26)

• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Hunting Majorana Fermions in Kitaev Magnets
• Two-dimensional band structure in honeycomb metal-organic frameworks
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• Strongly correlated superconductivity in a copper-based metal-organic framework with a perfect kagome lattice
• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• Majorana Corner Modes in a Second-Order Kitaev Spin Liquid
• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• Functional renormalization group approach to SU(N) Heisenberg models: Real-space RG at arbitrary N
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Anderson-Kitaev spin liquid
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• $\mathrm{SU}(4)$-Symmetric Quantum Spin-Orbital Liquids on Various Lattices
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Topological $Z_2$ invariant in Kitaev spin liquids: Classification of gapped spin liquids beyond projective symmetry group
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Chiral spin liquids with crystalline ${\mathbb{Z}}_2$ gauge order in a three-dimensional Kitaev model
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Kitaev Interactions Through an Extended Superexchange Pathway in the jeff = 1/2 Ru3+ Honeycomb Magnet, RuP3SiO11
• Electric probe for the toric code phase in Kitaev materials through the hyperfine interaction
• Entanglement in 3D Kitaev Spin Liquids
• Thermodynamic signature of the $\mathrm{SU}(4)$ spin-orbital liquid and symmetry fractionalization from the Lieb-Schultz-Mattis theorem
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Gapless spinons and a field-induced soliton gap in the hyper-honeycomb Cu oxalate framework compound [(C${}_2$H${}_5$)${}_3$NH]${}_2$Cu${}_2$(C${}_2$O${}_4$)${}_3$
• Three-dimensional spin-orbital liquids